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Finding the Fourth Proportional to 50,116.36, 75,208.72 and 32,347

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Solution

The fourth proportional to 50,116.36, 75,208.72 and 32,347 is: 48,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116.36 : 75,208.72 = 32,347 : x
  2. Step 2: Convert to fraction form
    50,116.36/75,208.72 = 32,347/x
  3. Step 3: Cross multiply
    50,116.36x = 75,208.72 × 32,347
  4. Step 4: Simplify right side
    50,116.36x = 2,432,776,465.84
  5. Step 5: Solve for x
    x = 2,432,776,465.84/50,116.36
  6. Step 6: Final answer
    x = 48,542.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.